On the difference between the ordinary height and the canonical height on elliptic curves

Yukihiro Uchida

doi:10.3792/pjaa.82.56

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March 2006 On the difference between the ordinary height and the canonical height on elliptic curves

Yukihiro Uchida

Proc. Japan Acad. Ser. A Math. Sci. 82(3): 56-60 (March 2006). DOI: 10.3792/pjaa.82.56

Abstract

We estimate the bounds for the difference between the ordinary height and the canonical height on elliptic curves over number fields. Our result is an improvement of the recent result of Cremona, Prickett, and Siksek (J. Number Theory 116 (2006), 42--68). Our bounds are usually sharper than the other known bounds.

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Yukihiro Uchida. "On the difference between the ordinary height and the canonical height on elliptic curves." Proc. Japan Acad. Ser. A Math. Sci. 82 (3) 56 - 60, March 2006. https://doi.org/10.3792/pjaa.82.56